Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential

DOI10.1090/S0002-9939-2013-12186-6zbMath1283.81068arXiv1111.5552OpenAlexW2011897847MaRDI QIDQ5398138

Oleg Safronov

Publication date: 26 February 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5552

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05)

Related Items (7)

Spatial asymptotics of Green's function and applications ⋮ Absolutely continuous spectrum of a typical operator on a cylinder ⋮ Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation ⋮ Absolutely continuous spectrum of the Schrödinger operator with a potential representable as a sum of three functions with special properties ⋮ Absolutely continuous spectrum of a Dirac operator in the case of a positive mass ⋮ Relations between two parts of the spectrum of a Schrödinger operator and other remarks on the absolute continuity of the spectrum in a typical case ⋮ Discrete spectrum for Schrödinger operators with oscillating decaying potentials

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